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T model of growth and its application in systems of tumor-immunedynamics

1. Department of Mathematical Sciences, Cameron University, Lawton, OK 73505
2. School of Medicine, University of Alabama at Birmingham, Birmingham AL 35294

In this paper we introduce a new growth model called Tgrowth model. This model is capable of representing sigmoidal growth as wellas biphasic growth. This dual capability is achieved without introducingadditional parameters. The T model is useful in modeling cellularproliferation or regression of cancer cells, stem cells, bacterial growth anddrug dose-response relationships. We recommend usage of the T growth model forthe growth of tumors as part of any system of differential equations. Use ofthis model within a system will allow more flexibility in representing thenatural rate of tumor growth. For illustration, we examine some systems oftumor-immune interaction in which the T growth rate is applied. We also applythe model to a set of tumor growth data.
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Keywords tumor-immune dynamics; Growth models; RNAinterference.

Citation: Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh, Sejong Bae. T model of growth and its application in systems of tumor-immunedynamics. Mathematical Biosciences and Engineering, 2013, 10(3): 925-938. doi: 10.3934/mbe.2013.10.925

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